Let x be her initial distance from the building, then tan 37 = 130/x
x = 130/ tan 37 = 130/0.7536 = 172.5 feet
Let y be her distance from the building after moving forward, then
tan 40 = 130/y
y = 130/tan 40 = 130/0.8391 = 154.9
After moving forward, she is 172.5 - 154.9 = 17.6 ft closer.
Answer:
172.5 feet to the nearest tenth.
Step-by-step explanation:
I guess you need the distance between Diana and the bottom of the building.
tan 37 = 130 / d where d is this distance
d * tan 37 = 130
d = 130 / rtan 37
= 172.5158 feet
Which expression is equivalent to(2^3)^-5
Answer:
23
Step-by-step explanation:
Answer:
1/32
Step-by-step explanation:
First you must multiply the 3 and the -5 because the -5 is out of the parenthases. then you will get 2^-15. You cannot have a negative exponent so you chance it to 1/2^15. Then simplify to get the answer
find x if b is the midpoint of the line AC.
AB=6x-6 and BC=72
Answer:
[tex]if \: b \: is \: the \: mid \: point \: then \: \\ ab = bc \\ then \: 6x - 6 = 72 \\ 6x = 72 + 6 \\ 6x = 78 \\ x = \frac{78}{6} \\ x = 13 \\ thank \: you[/tex]
This question is simply about division of line segments.
x = 13
We see that point B is the mid point of line AC. This means that;
AB = AC
Now, since AB = 6x - 6 and BC = 72Thus, 6x - 6 = 72
Add 6 to both sides to get;
6x = 78
divide both sides by 6 to get;
x = 13
read more here; brainly.com/question/10838483
A large power plant generates 7.1 gigawatts of electrical power.
A large power plant generates_watts of electrical power. (Use the multiplication symbol in the math palette as needed)
If P={2,3,4} and Q={1,5} find and represent it in set builder form
Step-by-step explanation:
Solution,
P={2,3,4}
P={x:x ∈ N between 1 and 5}
Q={1,5}
Q={x:x ∈ factors of 5}
I hope you were asking for the same answer .
I hope it helped U
stay safe stay happy
An airplane travels due east 75 miles and then due north 65 miles. How far is the airplane from its starting point? Round to the nearest hundredth of a mile.
I will mark brainliest
Answer:
99.25 milesStep-by-step explanation:
The straight line from the starting point forms a hypotenuse of the right triangle with the legs 75 and 65 miles. Use Pythagorean.
The distance is:
[tex]\sqrt{75^2+65^2} = \sqrt{9850} = 99.25[/tex] miles (rounded)Using Pythagorean theorem
[tex]\\ \rm\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \rm\longmapsto H^2=75^2+65^2[/tex]
[tex]\\ \rm\longmapsto H^2=9850[/tex]
[tex]\\ \rm\longmapsto H=\sqrt{9850}[/tex]
[tex]\\ \rm\longmapsto H=99.247[/tex]
[tex]\\ \rm\longmapsto H=99.25miles[/tex]
5.6x+1.5=0.8x+25.5
What is x?
Answer:
x = 5
Step-by-step explanation:
Let me know if you need the work
20x2 y(x2 - y2) and 35xy?(x - y)
lcm
Answer:
Correct option is
HCF of 20 and 35 = 5
HCF of x2yandxy2=xy
HCF of (x2−y2),i.e.,(x−y)(x+y)
and (x−y)=(x−y)
∴ReqdH.C.F=5xy(x−y)
Step-by-step explanation:
hiiii ur so cute
6x-14(17+19x)=-11x+13
Y=DB-3 solve for d. These equations are still tricky for me.
Find the value of x.
[tex]180^o-130^o=50^o\\\\90^o+50^o=140^o\\\\x=180^o-140^o\rightarrow\boxed{x=40^o}[/tex]
Solve the system of linear questions by substitution
-3x + y = 1
4x + y = 8
Answer:
–3x + y =1
y= 1 +3x
4x + y =8 —> 4x + ( 1 + 3x ) = 8
7x + 1 = 8 —> 7x = 8 – 1 —> 7x = 7
x = 7/7 —> x = 1
y= 1 + 3x —> y = 1 + 3 (1) —> y = 1+ 3
y= 4
(x , y ) —> ( 1 , 4 )
I hope I helped you^_^
Hayden had 2 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 3/4 gallons of water left over, about how much water did he use for lettuce?
Answer:
7/8
Step-by-step explanation:
1/4 + 5/8 = 2/8 + 5/8 = 7/8
= amount used for pepper and tomatoes
2 1/2 - 3/4 = 5/2-3/4 = 10/4 -3/4 = 7/4
= total amount used
so
7/4 - 7/8 = 14/8 - 7/8 = 7/8 for lettuce
we are 5 red marbles a blue marbles and travel marbles in a bag separate rows are performed with the results and table what is the experiment property of randomly during green marble red pen blue 1228a what is the experiments of purposive random drawing green apple by does it sell it for profit of randomly drawn a green marble see what would you expect to happen if Mars has an experiment performed explain your reasoning using complete sentences
Answer:
elon musk
Step-by-step explanation:
he is a god on earth who drinks apples while eating tables in the milk ecosystem when hulk killed superman in washington-nigeria.
The chorus sang for 27 minutes. If each song lasted an average of 412 4 1 2 minutes, how many songs did the chorus sing?
Answer:
It would be 15 songs if each song was 412 seconds, not minutes.
Step-by-step explanation:
Help please.
Simplify: 5i/ 3 + 2i
Answer:
10+15i/13
Step-by-step explanation:
This question is about complex numbers.
so,
in this type of questions we have to multiply this fraction by the conjugate of the denominator
conjugate of the denominator is 3-2i
1) 5i(3-2i)/(3+2i)(3-2i)
2) 15i-10i^2/9-4i^2 ( we know that i^2 = -1 )
3) 15i+10/9+4
4) 15i+10 / 13
What fraction is 1.64 equal to?
Answer:
41/25
Step-by-step explanation:
How to write a book report plz help
Answer:
[tex]name \: of \: the \: book \\ auther \: of \: book \\about \: auther \: shortly \\ content \: of \: the \: book \\ comparison \: with \: any \: social \: issue \\ relevence \: of \: that \: in \: present \: days \\ important \: peoples \: thoughts \: about \: that \: book \\ ur \: opinion \: about \: it \\ i \: hopethis \: helps \: you[/tex]
Answer:
Depends on the level, you are writing!! Check the pictures below.
Step-by-step explanation:
Round your answer to the nearest hundredth
Answer:
∠ B ≈ 64.62°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{3}{7}[/tex] , then
∠ B = [tex]cos^{-1}[/tex] ([tex]\frac{3}{7}[/tex] ) ≈ 64.62° ( to the nearest hundredth )
Find the unknown sizes of the angle
Answer:
b=58 ( vertically opposite angle)
58+65+x=180 (Beaing straight angle)
123+x=180
x=180-123
:.x=57
65+b+c=180 (beaing straight angle)
65+58+c=180
123+c=180
c=180-123
c=57
a=65 (beaing vertically opposite angle)
answer
:.b=57
:.c=57
:.a=65
8. Raul made four of his truck payments late and
was fined four late fees. The total change to his
savings from late fees was -$40. How much was
the one-time late fee?
Sam bought 8 new trading cards to add to his collection. the next day his dog ate half of his collection. there are now only 40 cards left. how many cards did sam start with?
Answer:
(8 + A) = 80 / 2 =40
A=72
Step-by-step explanation: Simple if sam bought 8 trading cards he obviously had some to start with and if half of that was 40 then the complete set was 80 and 80 - 8 is 72.
select the correct answer
which of these mappings is a function
Answer:
B. X
Step-by-step explanation:
the other functions have same x and different y which makes them non existant
In 2001 there were 2,900,000 pupils in a primary school and by 2004 number had increased to 4200000 what was the percentage increase give your answer to the nearest whole number
Answer:
4.2M - 2.9M= 1300000
1.3/2.9x100= 44.83%
Answer:
59%
Step-by-step explanation:
2900000÷4200000× 100
The perimeter of Stephanie’s triangle is half the perimeter of Juan’s triangle. Juan’s triangle is shown. Write a numerical expression to describe the perimeter of Stephanie’s triangle.
The perimeter of a triangle is the sum of all side lengths of the triangle. The numerical expression for the perimeter of Stephanie's triangle is: [tex]\frac 12 \times 25[/tex]
Let the sides of Juan's triangle be x, y and z. So:
[tex]x = 5 \\ y = 8\\ z = 12[/tex]
The perimeter (J) of Juan's triangle is calculated by adding all sides.
So:
[tex]J =x +y +z[/tex]
This gives:
[tex]J =5 + 8 + 12[/tex]
[tex]J =25[/tex]
From the question, we understand that:
The perimeter (S) of Stephanie's triangle is half that of Juan.
This means that:
[tex]S = \frac 12J[/tex]
Substitute 25 for J
[tex]S = \frac 12 \times 25[/tex]
Hence, the numerical expression for the perimeter of Stephanie's triangle is: [tex]\frac 12 \times 25[/tex]
Read more about perimeters at:
https://brainly.com/question/11957651
How to solve multi step equations
Answer:
x = –2
Step-by-step explanation:
– 6(1+4x) = –x +40
–6 – 24x = –x +40
24x –x = –6 –40
23x= – 46
x= – 46 / 23
x= – 2
I hope I helped you^_^
hi how to solve this question 3n-5;where n=-1
Answer:
[tex]3n - 5 \\ 3( - 1) - 5 \\ = - 3 - 5 \\ = - 8[/tex]
I hope I helped you^_^
Answer:
hope it's help you
Step-by-step explanation:
3(-1)-5 =-3-5 =-8
calculate the total surface area of the give cuboid
5, 317, 000 in scientific notation
Hi ;-)
[tex]5 \ 317 \ 000=\\\\=5,317\cdot1 \ 000 \ 000=\boxed{5,317\cdot10^6}[/tex]
Step-by-step explanation:
[tex]5317000 = 5.317 \times {10}^{6} \\ thank \: you [/tex]
Find the value of y and RT if S is between RT. RT = 7y + 7, RS = 11, and ST = 5y + 6.
Answer:
78
Step-by-step explanation:
show your work
Solve - 4x + 2 > 26.